Abstract

We introduce a Stieltjes transform on the equivalence classes of
a new generalized function which has been successfully developed
by Colombeau. Subsets of rapid descent test functions, 𝒮(ℝn), as well as tempered distributions, 𝒮′(ℝn), are used to preserve Fourier analysis techniques.

Copyright Hindawi Publishing Corporation. The ELibM mirror is published by FIZ Karlsruhe.